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13 Nov 2019
1.a) Sketch the graph of the polar equation : r[0]-o / 2 for in [-4 Ï, 4 Ï]. b) Compute the derivative dy / dx at a point with rectangular coordinates (x,y)-(7x, 12, 7 Ï V3 / 12) on the graph. ("You need to find o, it is not Ï / 3 ") c)Find an equation of the tangent line at the point vhere the angle o is-11/6, and show the tangent line together with the graph of part (a). II.A "trochoid is traced by a point P on a spoke of a wheel of radius a as it rolls along the x axis. If the distance of P from the center of the rolling wheel is b > o, the trochoid is described by the equations a) What is the curve with b a? b) Settinga 2, and allowing b c a, b> a, and a b, experinent with different values of b. What determines whether the trochoid has loops, cusps, or neither? plot curves displaying each k ind of the patterns mentioned in (b) . O Type here to search
1.a) Sketch the graph of the polar equation : r[0]-o / 2 for in [-4 Ï, 4 Ï]. b) Compute the derivative dy / dx at a point with rectangular coordinates (x,y)-(7x, 12, 7 Ï V3 / 12) on the graph. ("You need to find o, it is not Ï / 3 ") c)Find an equation of the tangent line at the point vhere the angle o is-11/6, and show the tangent line together with the graph of part (a). II.A "trochoid is traced by a point P on a spoke of a wheel of radius a as it rolls along the x axis. If the distance of P from the center of the rolling wheel is b > o, the trochoid is described by the equations a) What is the curve with b a? b) Settinga 2, and allowing b c a, b> a, and a b, experinent with different values of b. What determines whether the trochoid has loops, cusps, or neither? plot curves displaying each k ind of the patterns mentioned in (b) . O Type here to search
Hubert KochLv2
15 Jan 2019